When is the graph of f (x) = 2x2 – 5x – 3 negative?​

Answers

Answer 1

9514 1404 393

Answer:

  -1/2 < x < 3

Step-by-step explanation:

First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.

  f(x) = 2x^2 -5x -3

  f(x) = 2x^2 -6x +x -3

  f(x) = 2x(x -3) +1(x -3)

  f(x) = (2x +1)(x -3)

The x-intercepts are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

The graph of f(x) is negative on the interval ...

  -1/2 < x < 3

When Is The Graph Of F (x) = 2x2 5x 3 Negative?

Related Questions

Answer the photo below thanks

Answers

Its 1 and 2 because 5 and 4 look similar but its not as close as 1 and 2 based on the photo u put
I agree the answer is A-(1 and 2)

For a school fundraiser, Tory sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.

Write a system of equations which represents this situation.

A. 28p + 17p and 40c + 20c = 160.50
B. 28p + 20c = 282 and 17p + 40c = 160.50
C. 28p + 40c = 282 and 17 + 20c = 160.50
D. 28p + 40c + 17p + 20c = 282 + 160.50

Answers

The answer should be A

A student claims that x=3 and 2+3i are the zeros of a quadratic function. Explain why this is incorrect

Answers

Answer:

Because it's not a quadratic function.

Step-by-step explanation:

The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

The standard form of a quadratic equation is,

ax² + bx + c = 0

The root of it is given by,

x = [-b ± √(b²-4ac)]/2a

For being this as imaginary the term b²-4ac < 0

Let's say b²-4ac = -m then

x = (-b/2a) ± (m/2a)i so both root will be imaginary.

Given that one root is real (3) and the second is imaginary (2 + 3i) is not possible.

Hence "The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect".

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A
walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the equation that represents the new path.

Answers

Answer:

We are given the path, y=-3x-6

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the incipient path is perpendicular to the given path.

And, we ken that, 'Product of slopes of perpendicular lines is -1'.

Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,

b= 3+1

b= 4.

Step-by-step explanation:

Please answer ASAP

The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.

Answers

Answer:

L=65m

W=23m

Step-by-step explanation:

[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]

The length and width of the rectangle are 63m and 25m.

What is a rectangle?

A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.

We have,

The perimeter of a rectangle = 176 m

Length of the rectangle = L = 3 x (W- 4 )

Width of the rectangle = W

The perimeter of a rectangle is given by:

176 = 2 ( L + W )

176 = 2 ( 3 ( W - 4 ) + W )

176 = 2 ( 3W - 12 + W )

176 = 2 ( 4W - 12 )

176 = 8W - 24

176 + 24 = 8W

200 = 8W

W = 200 / 8

W = 25 m

Now,

Put W = 25 in L = 3 x ( W - 4 )

L = 3 x ( 25 - 4 )

L = 3 x 21

L = 63 m

We can cross-check:

Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m

Thus the length and width of the rectangle are 63m and 25m.

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Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).

Answers

Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

PLEASE ANSWER!!!!!

An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.

Answers

[tex] \sin = \frac{opp}{hyp} [/tex]

[tex] \sin(15) = \frac{280}{hyp} [/tex]

[tex]hyp = \frac{280}{ \sin(15) } [/tex]

[tex]hyp = 1081.836925 \: feet[/tex]

The direct line distance from the eagle to the mouse is 1081.837 feet

What is the exact length of each side?

Answers

Answer:

[tex]6a^{2} \sqrt{ab}[/tex]

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]

The product of two numbers is 24. One of the numbers is 10 units less than the other. The numbers are:
A. 0 and 12
B. 12 and -2
C. 10 and 14
D. -12 and 2
E. -12 and -2
Which is true?

Please I need your help fast ​

Answers

Answer:

E. -12 and -2

Step-by-step explanation:

-12 x -2 = 24

brainliest please

Answer:

Obviously -12 and -2 is true.

Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle

Answers

Answer:

D) triangle

Step-by-step answer:

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

Pyramid

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

Find out more on Pyramid at: https://brainly.com/question/218706

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

is 8 x 2/8 less than 8 or greater than 8

Answers

it is less because 8(2/8) would equal 2

Answer: yes if is

Step-by-step explanation:

factor out the gcf 12y³+10y²​

Answers

Answer:

Find the prime factors of each term in order to find the greatest common factor (GCF).

2y^2

Factoring out the greatest common factor (GCF)

To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

Step-by-step explanation:

Hope it is helpful.....

el área de un mosaico es de 900cm2 ¿cuánto mide por lado cada mosaico​

Answers

Answer:

El lado de cada mosaico tiene una longitud de 30 cm.

Step-by-step explanation:

El area de un mosaico cuadrado es:

[tex]A=l^{2}[/tex]

Donde l es el lado del mosaico.

Entonces, si sabes que el area es 900 cm², el lado valdra:

[tex]900=l^{2}[/tex]

[tex]l=\sqrt{900}[/tex]

[tex]l=30\: cm[/tex]

Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.

Espero te haya servido!

Please solve this question

Answers

B: 12/5 because when looking at the sin in sohcahtoa you want to look at the opposite and adjacent side the the angle X.. the adjacent is right next to the angle the hypotenuse is always the slanted side and the opposite is whatever is left Ig

Pleaseeee help I need a answer fast

Answers

Answer:

300

Step-by-step explanation:

im smart

Drop the answer love:)





Or.. i'll drop ur ip<3




mwa

Answers

-16x=-114.
X=7.13
Hope this helps.

First okay and second umm my what?! Lol

The answer is : - 112

We add 14 to both side

-16x - 14 = -126

       + 14    +14

-16x      =  - 112.    <- that’s the answer

Then we divide both sides by 16

X          =  7

Ta -Da!!

Also I’ll leave this.....

Condense to a single logarithm : log 12 18+3 log 12 2

Answers

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

the cost of contructing a 63mcube wall is rs 84000. find the volume of each brick if the cost of a bric is rs 13

Answers

Answer:

0.00975 m^3 each

Step-by-step explanation:

rs 84000 / rs 13 = 6461.539 bricks

63 m^3 / 6461.539 = 0.00975 m^3 each

(GIVING BRAINILEST) Which characteristic do stable ecosystems tend to have s

Answers

Answer:

It will be C

Step-by-step explanation:

This is because ecosystems worh high biodiversity tend to be more stable

Hope this Helped

Answer:

The awnser is c i took the test ( a high amount of bio deversety)

Step-by-step explanation:

The number of possible high fives, H, within a group of n people is given by the formula h = 1/2(n^2-n). After the Angels won the world series, there were 66 high fives at Jon’s house. How many people were at Jon’s house?

Answers

Answer:

maybe uh 34567

Step-by-step explanation:

How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.

Answers

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

Help please! Thank youuuuuy

Answers

Step-by-step explanation:

can an.y gi.rl message me. i have no power to inbox

find the value of a and b of a+root5 is (root5+root3)(root5-root3)​

Answers

Given:

Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].

To find:

The values of a and b.

Solution:

According to the given information,

[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]

[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]a+b\sqrt{5}=5-3[/tex]

[tex]a+b\sqrt{5}=2[/tex]

It can be written as

[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]

On comparing both sides, we get

[tex]a=2,b=0[/tex]

Therefore, the value of a is 2 and the value of b is equal to 0.

please help me I will mark brainiest

Answers

Answer:

x = 6

Step-by-step explanation:

To solve for x, do inverse operations on both sides of the equation:

x + 4 = 10

  - 4     - 4

---------------

x        = 6

x = 6

Answer:

6

Step-by-step explanation:

x + 4 = 10

6 + 4 = 10

I really don't understand this ​

Answers

Answer:

First Game: She wins

Second game: She loses

Third game: She loses

Step-by-step explanation:

If the graph go down she loses, if it goes up she win.

for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5

on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33

and so on

Write Each Ratio as a Percent

1. 14 losses in 50 games

2. 4/5 of the students ride the bus

3. if AB represents 25% what is the length of a line segment that is 100%?

A________________B
5ft

Answers

Answer:

28%

80%

20

Step-by-step explanation:

hope this helps

anyone think they could help me with this question???

Answers

Answer:

61

Step-by-step explanation:

As we can see the triangles are congruent so

< F = < C ( being corresponding angles of congruent triangle)

< C = 29

Now

<A +<B + <C = 180° { being sum of angles of triangle }

5x + 1 + 90 + 29 = 180°

5x = 180° - 120°

5x = 60°

x = 12°

<A = 5 * 12° + 1 = 61°

Hope it will help :)

1/6(x + 6) = 11 What is x

Answers

Answer:

x = 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](x+6)=11

[tex]\frac{1}{6}[/tex]x + 1 = 11

[tex]\frac{1}{6}[/tex]x +1 -1 = 11 -1

[tex]\frac{1}{6}[/tex]x * 6 = 10 *6

x = 60

To double check

[tex]\frac{1}{6}[/tex](60+6)=11

10+1 = 11

11 = 11

1 + 7x
The sum of two numbersis 23. The greater number
is b. Select the expression that represents the lesser
number.

Answers

Answer:

Step-by-step explanation:

a+b = 23

a<b

a = 23-b

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